The Phase Rule and Its ApplicationsFindlay, Alexander
Science
The Phase Rule and Its Applications
Findlay, Alexander
Chemistry, Physical and theoretical; Phase rule and equilibrium; Solution (Chemistry)
We must now find the meaning of the point D. Suppose the pure [alpha]- or
pure [beta]-form heated to the temperature _t'_, and the temperature
maintained constant until the liquid has the composition _x'_ corresponding
to the equilibrium at that temperature. If the temperature is now allowed
to fall sufficiently slowly so that the condition of equilibrium is
continually readjusted as the temperature changes, the composition of the
solution will gradually alter as represented by the curve _x'_D. Since D is
on the freezing point curve of pure [alpha], this form will be deposited on
cooling; and since D is also on the equilibrium curve of the liquid, D is
the only point at which solid can exist in stable equilibrium with the
liquid phase. (The vapour phase may be omitted from consideration, as we
shall suppose the experiments carried out in open vessels.) All systems
consisting of the two hylotropic[281] isomeric substances [alpha] and
[beta] will, therefore, ultimately freeze at the point D, which is called
the "natural" freezing point[282] of the system; provided, of course, that
sufficient time is allowed for equilibrium to be established. From this it
is apparent that _the stable modification at temperatures in the
neighbourhood of the melting point is that which is in equilibrium with the
liquid phase at the natural freezing point_.
From what has been said, it will be easy to predict what will be the
behaviour of the system under different conditions. If pure [alpha] is
heated, a temperature will be reached at which it will melt, but this
melting point will be sharp only if the velocity of isomeric transformation
is comparatively slow; _i.e._ slow in comparison with the determination of
the melting point. If the substance be maintained in the fused condition
for some time, a certain amount of the [beta] modification will be formed,
and on lowering the temperature the pure [alpha] form will be deposited,
not at the temperature of the melting point, but at some lower temperature
depending on the concentration of the [beta] modification in the liquid
phase. If isomeric transformation {199} takes place slowly in comparison
with the rate at which deposition of the solid occurs, the liquid will
become increasingly rich in the [beta] modification, and the freezing point
will, therefore, sink continuously. At the eutectic point, however, the
[beta] modification will also be deposited, and the temperature will remain
constant until all has become solid. If, on the other hand, the velocity of
transformation is sufficiently rapid, then as quickly as the [alpha]
modification is deposited, the equilibrium between the two isomeric forms
in the liquid phase will continuously readjust itself, and the end-point of
solidification will be the natural freezing point.
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